Miguel deposits 4320 dollars in an account, and 4 years later the account balance is 8140 dollars. if interest is compounded monthly, what is the rate of interest per month?

  about 1.33% per month

Step-by-step explanation:

The future value is given by ...

  FV = P(1 +r)^n

where P is the principal, r is the monthly interest rate, and n is the number of months. Solving for r, we get ...

  FV/P = (1 +r)^n . . . . . . . divide by P

  (FV/P)^(1/n) = 1 +r . . . . . take the n-th root

  r = (FV/P)^(1/n) -1 . . . . . subtract 1

Filling in the given numbers, we have ...

  r = (8140/4320)^(1/48) -1 ≈ 0.013286 ≈ 1.33%

The rate of interest per month is about 1.33%.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

answer: what do you mean